We look at the division of 646 by 80 
We want to figure out the number of times 646 can be divided by 80.

Let's proceed to step 1:
When dividing 6 by 80, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 80

Advancing to step 2:
If we divide 64 by 80, we get 0 and a remainder of 64.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 64 leaves us with 64.
Append the next digit (6) from the dividend to 64 and continue with: 646 / 80

Moving on to step 3:
The number 80 fits into 646 8 times, leaving a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we take 640 away from 646, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 4:
The number 80 fits into 60 0 times, leaving a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 8.0
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 5:
80 goes into 600 7 times with a remainder of 40.
Write down 7 as next digit of the result. 
Result so far: 8.07
If we subtract 560 from 600, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 6:
80 can be fit into 400 5 times, resulting in a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 8.075
Deduct 400 from 400 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 7:
80 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 8.075
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
The number 80 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 8.075
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 8.075, and the remainder is 0.0.